In: Statistics and Probability
Test the claim that the mean GPA of night students is larger
than 3.3 at the .05 significance level.
The null and alternative hypothesis would be:
H0:p=0.825H0:p=0.825
H1:p≠0.825H1:p≠0.825
H0:μ=3.3H0:μ=3.3
H1:μ>3.3H1:μ>3.3
H0:μ=3.3H0:μ=3.3
H1:μ≠3.3H1:μ≠3.3
H0:p=0.825H0:p=0.825
H1:p<0.825H1:p<0.825
H0:μ=3.3H0:μ=3.3
H1:μ<3.3H1:μ<3.3
H0:p=0.825H0:p=0.825
H1:p>0.825H1:p>0.825
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 45 people, the sample mean GPA was 3.32 with a
standard deviation of 0.08
The test statistic is: (to 2 decimals)
The critical value is: (to 2 decimals)
Based on this we: